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Finding the Fourth Proportional to 5,963.81, 8,230.32 and 3,311.22

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Solution

The fourth proportional to 5,963.81, 8,230.32 and 3,311.22 is: 4,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.81 : 8,230.32 = 3,311.22 : x
  2. Step 2: Convert to fraction form
    5,963.81/8,230.32 = 3,311.22/x
  3. Step 3: Cross multiply
    5,963.81x = 8,230.32 × 3,311.22
  4. Step 4: Simplify right side
    5,963.81x = 27,252,377.49
  5. Step 5: Solve for x
    x = 27,252,377.49/5,963.81
  6. Step 6: Final answer
    x = 4,569.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.